Answer:
B
Step-by-step explanation:
Two events A and B are called independent, when
where 
is the probability that B occurs given that A has already occurred.
A = randomly selected person is a student
B = randomly selected person prefer "Vikings"
B|A = randomly selected student prefer "Vikings"
Probabilities:
Since
we can state that events are not independent.
Let's look at each answer choice's words per minute:
A) 320/8 = 40
B) 600/12 = 50
C) 350/10 = 35
D) 225/5 = 45
The fastest is 50 words/min which is B
Answer:
12 inches
Step-by-step explanation:
So you know that the perimeter of a picture frame (a rectangle) is 2 widths plus 2 lengths.
Let x= lengths and w= widths
From the question we already know that w=7, so we can set up an equation that says:
2x + 2w = 38
2x + 2(7) = 38
2x+14 = 38
2x +14 -14 = 38-14
2x = 24
2x/2 = 24/2
x= 12
Since x= lengths =12
the length of the frame is 12 inches.
Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.
What is a linear function?
- A linear function is modeled by:
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Rowan, we have that:
- He has already read 20 pages, hence the y-intercept is
.
- He reads 1.5 pages per minute, hence the slope is
Then:
For Kennedy, we have that:
- He has already read 25 pages, hence the y-intercept is
.
- He reads 1 page per minute, hence the slope is
Then:
They will have read the same number of pages after x minutes, for which:
Then:
To learn more about linear function, you can take a look at brainly.com/question/25823744
First one (on the left) is 2) associative property because we are regrouping terms or re-associating them based on the parenthesis. Think of the parenthesis like a tent or a house that separates off the stuff outside. First 27 and 36 are grouped, then we move the parenthesis so that 52 and 27 are grouped now.
Second one (on the right) is 1) commutative. The commutative multiplication property says we can multiply two numbers in any order. For example, 4*9 = 36 and 9*4 = 36. The 4 and 9 swap places. In this problem, the 3 and 4x swap places. The use of parenthesis isn't necessary, though it is sometimes used to imply multiplication.
